x ga nisbatan hosilani topish
-\frac{4}{\left(4x+1\right)^{2}}
Baholash
\frac{1}{4x+1}
Grafik
Baham ko'rish
Klipbordga nusxa olish
-\left(4x^{1}+1\right)^{-1-1}\frac{\mathrm{d}}{\mathrm{d}x}(4x^{1}+1)
Agar F ikki differensial funksiya f\left(u\right) va u=g\left(x\right)'ning yig'indisi bo'lsa, ya'ni agar F\left(x\right)=f\left(g\left(x\right)\right) bo'lsa, F hosilasi f'ning u martalik hosilasi, g'ning x martalik hosilasi ya'ni \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right) bo'ladi.
-\left(4x^{1}+1\right)^{-2}\times 4x^{1-1}
Polinomialning hosilasi bu uning shartlari hosilasining yig‘indisiga teng. Konstant shartning hosilasi 0. ax^{n} ning hosilasi nax^{n-1}.
-4x^{0}\left(4x^{1}+1\right)^{-2}
Qisqartirish.
-4x^{0}\left(4x+1\right)^{-2}
Har qanday t sharti uchun t^{1}=t.
-4\left(4x+1\right)^{-2}
Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.
Misollar
Ikkilik tenglama
{ x } ^ { 2 } - 4 x - 5 = 0
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Chiziqli tenglama
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Arifmetik
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Matritsa
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simli tenglama
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Differensatsiya
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Oʻngga
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Chegaralar
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